100749677952 has 128 divisors (see below), whose sum is σ = 333651628800. Its totient is φ = 26168739840.

The previous prime is 100749677947. The next prime is 100749677957. The reversal of 100749677952 is 259776947001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100749677947) and next prime (100749677957).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 100749677892 and 100749677901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100749677957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1674127 + ... + 1733262.

It is an arithmetic number, because the mean of its divisors is an integer number (2606653350).

Almost surely, 2^100749677952 is an apocalyptic number.

100749677952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100749677952 is an abundant number, since it is smaller than the sum of its proper divisors (232901950848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100749677952 is a wasteful number, since it uses less digits than its factorization.

100749677952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3407424 (or 3407412 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 57.

The spelling of 100749677952 in words is "one hundred billion, seven hundred forty-nine million, six hundred seventy-seven thousand, nine hundred fifty-two".